For a while, it was often stated that the Standard Model Effective Field Theory (SMEFT) [1]}, [2]}, [3]}, [4]}, [5]}, [6]} and the Higgs Effective Field Theory (HEFT) [7]}, [8]}, [9]}, [10]}, [11]}, [12]} must encode similar physics, just in different coordinates, with HEFT being perhaps a bit more general because it does not incorporate the Higgs boson \(h\)  into an \(SU(2)\)  multiplet.
